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A classical system of N distinguishable non-interacting particles of mass m is placed in a three dimentional harmonic well :
U(r) = (X2 + y2 + Z2 )/2V2/3 . Find:

1- The partition function and the Helmholtz free energy .

2- the equation of state and compare it to that of a gas in a container with rigid walls.

3- The entropy, internal energy, and total heat capacity at constant volume .

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